How much does a wild mountain lion weigh? Bill Montana went into the mountains of Idaho and captured 12 random mountain lions. Their weights, in pounds, were the following: 93.0, 109.4, 88.2, 114.5, 83.0, 103.2, 110.7, 128.9, 62.8, 97.9, 94.7, 92.5 Mountain lion weights in Idaho are known to be normally distributed with an unknown mean of μ pounds and an unknown standard deviation o pounds. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the maximum likelihood estimate for 2 using this data. d) Calculate an unbiased estimate for ² using this data. e) Calculate the sample median for this data. f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .08 then what is t? g) Suppose W has a t distribution with 11 degrees of freedom. If P(W
How much does a wild mountain lion weigh? Bill Montana went into the mountains of Idaho and captured 12 random mountain lions. Their weights, in pounds, were the following: 93.0, 109.4, 88.2, 114.5, 83.0, 103.2, 110.7, 128.9, 62.8, 97.9, 94.7, 92.5 Mountain lion weights in Idaho are known to be normally distributed with an unknown mean of μ pounds and an unknown standard deviation o pounds. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the maximum likelihood estimate for 2 using this data. d) Calculate an unbiased estimate for ² using this data. e) Calculate the sample median for this data. f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .08 then what is t? g) Suppose W has a t distribution with 11 degrees of freedom. If P(W
MATLAB: An Introduction with Applications
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
Transcribed Image Text:How much does a wild mountain lion weigh? Bill Montana went into the mountains of Idaho and captured 12 random mountain lions. Their weights, in pounds, were the following:
93.0, 109.4, 88.2, 114.5, 83.0, 103.2, 110.7, 128.9, 62.8, 97.9, 94.7, 92.5
Mountain lion weights in Idaho are known to be normally distributed with an unknown mean of μ pounds and an unknown standard deviation o pounds.
a) Calculate the sample mean for this data.
b) Calculate the sample standard deviation for this data.
c) Calculate the maximum likelihood estimate for 2 using this data.
d) Calculate an unbiased estimate for ² using this data.
e) Calculate the sample median for this data.
f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .08 then what is t?
g) Suppose W has a t distribution with 11 degrees of freedom. If P(W<t) = .08 then what is t?
h) Calculate the 90th percentile of a standard normal distribution.
i) Compute an 80% confidence interval for μ using your answers above.
j) Compute an 80% prediction interval for using your answers above.
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